Details

Time bar (total: 6.0s)

sample103.0ms

Algorithm
intervals
Results
26.0ms66×body10240exit
24.0ms56×body1280valid
16.0ms291×body80valid
16.0ms52×body640valid
3.0ms15×body320valid
1.0ms9×body160valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (35.0ms)

IterNodesCost
04616
112216
234716
3129516
4500115

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x))))
0.0b
(exp (- (* (- 1.0 eps) x)))
0.0b
(exp (- (* (+ 1.0 eps) x)))
1.9b
(- (* (+ 1.0 (/ 1.0 eps)) (exp (- (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x)))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
81×frac-sub
78×exp-neg
76×frac-times
59×neg-sub0 exp-diff
38×associate-*r/ associate-*l/
31×flip3-- flip--
27×flip3-+ flip-+
19×un-div-inv
15×add-sqr-sqrt
12×exp-prod
10×*-un-lft-identity add-log-exp
8×add-cube-cbrt
6×pow1 associate-*l* add-cbrt-cube
5×add-exp-log
4×rem-exp-log
3×associate-*r*
2×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in neg-log difference-of-squares
1×sub-neg times-frac diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 157
Calls
4 calls:
43.0ms
(* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x))))
4.0ms
(exp (- (* (- 1.0 eps) x)))
3.0ms
(exp (- (* (+ 1.0 eps) x)))
31.0ms
(- (* (+ 1.0 (/ 1.0 eps)) (exp (- (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x)))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x))))
26.0ms
(exp (- (* (- 1.0 eps) x)))
26.0ms
(exp (- (* (+ 1.0 eps) x)))
195.0ms
(- (* (+ 1.0 (/ 1.0 eps)) (exp (- (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x)))))

simplify133.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
011693874
141983608
250023593

prune424.0ms

Filtered
169 candidates to 90 candidates (53.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 0.6666666666666667 (pow x 3))
6.8b
(- (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log add-log-exp
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 diff-log sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- unpow3 pow-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod
Counts
2 → 45
Calls
2 calls:
7.0ms
(* 0.6666666666666667 (pow x 3))
29.0ms
(- (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))

series77.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* 0.6666666666666667 (pow x 3))
42.0ms
(- (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))

simplify34.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0207273
1894245
25002241

prune115.0ms

Filtered
51 candidates to 31 candidates (60.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 0.6666666666666667 (pow x 3))
6.8b
(+ (* 0.6666666666666667 (pow x 3)) (- 2.0 (* 1.0 (pow x 2))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log add-log-exp
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 associate-+r+ sum-log sqr-pow
1×+-commutative cube-mult pow-to-exp associate-+r- sub-neg flip3-+ diff-log unpow3 pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 46
Calls
2 calls:
10.0ms
(* 0.6666666666666667 (pow x 3))
7.0ms
(+ (* 0.6666666666666667 (pow x 3)) (- 2.0 (* 1.0 (pow x 2))))

series78.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* 0.6666666666666667 (pow x 3))
38.0ms
(+ (* 0.6666666666666667 (pow x 3)) (- 2.0 (* 1.0 (pow x 2))))

simplify33.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0203264
1840241
25001240

prune115.0ms

Filtered
52 candidates to 32 candidates (61.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.6666666666666667 (pow x 3))
0.1b
(pow (* 1.0 (pow x 2)) 3)
11.4b
(- (pow (+ (* 0.6666666666666667 (pow x 3)) 2.0) 3) (pow (* 1.0 (pow x 2)) 3))
12.1b
(/ (- (pow (+ (* 0.6666666666666667 (pow x 3)) 2.0) 3) (pow (* 1.0 (pow x 2)) 3)) (+ (* (+ (* 0.6666666666666667 (pow x 3)) 2.0) (+ (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))) (* 1.0 (* 1.0 (pow x 4)))))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
40×difference-of-squares
39×times-frac
37×*-un-lft-identity
33×sqr-pow
27×add-cube-cbrt
17×add-exp-log
15×unpow-prod-down cube-prod
13×associate-/l*
12×associate-*r*
11×add-cbrt-cube
6×pow-exp prod-exp add-log-exp
5×pow1 difference-cubes distribute-lft-out--
4×unswap-sqr
3×pow-to-exp pow-unpow associate-*l* associate-/r*
2×cube-mult flip3-- unpow3 associate-/r/ flip-- cbrt-unprod associate-/l/ rem-cube-cbrt
1×cbrt-undiv sub-neg pow-pow frac-2neg flip3-+ diff-log div-sub div-exp clear-num *-commutative flip-+ div-inv
Counts
4 → 148
Calls
4 calls:
7.0ms
(* 0.6666666666666667 (pow x 3))
3.0ms
(pow (* 1.0 (pow x 2)) 3)
67.0ms
(- (pow (+ (* 0.6666666666666667 (pow x 3)) 2.0) 3) (pow (* 1.0 (pow x 2)) 3))
169.0ms
(/ (- (pow (+ (* 0.6666666666666667 (pow x 3)) 2.0) 3) (pow (* 1.0 (pow x 2)) 3)) (+ (* (+ (* 0.6666666666666667 (pow x 3)) 2.0) (+ (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))) (* 1.0 (* 1.0 (pow x 4)))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* 0.6666666666666667 (pow x 3))
51.0ms
(pow (* 1.0 (pow x 2)) 3)
96.0ms
(- (pow (+ (* 0.6666666666666667 (pow x 3)) 2.0) 3) (pow (* 1.0 (pow x 2)) 3))
148.0ms
(/ (- (pow (+ (* 0.6666666666666667 (pow x 3)) 2.0) 3) (pow (* 1.0 (pow x 2)) 3)) (+ (* (+ (* 0.6666666666666667 (pow x 3)) 2.0) (+ (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))) (* 1.0 (* 1.0 (pow x 4)))))

simplify116.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
06313439
129333295
250013294

prune591.0ms

Filtered
160 candidates to 111 candidates (69.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes78.0ms

Accuracy

96.5% (0.5b remaining)

Error of 0.9b against oracle of 0.4b and baseline of 15.0b

bsearch139.0ms

Steps
ItersRangePoint
9
0.0031500223700544334
3931.223596465877
44.64678732908335

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05129
16429
26429

end0.0ms

sample2.8s

Algorithm
intervals
Results
773.0ms1893×body10240exit
760.0ms1735×body1280valid
532.0ms9761×body80valid
322.0ms1268×body640valid
111.0ms658×body320valid
33.0ms297×body160valid